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110221001121 = 37111034632497
BaseRepresentation
bin110011010100110101…
…1110000000110100001
3101112111111020222220210
41212221223300012201
53301213034013441
6122345042324333
710651244023410
oct1465153600641
9345444228823
10110221001121
1142820977570
12194409596a9
13a5172281ba
1454986b1477
152d016ee616
hex19a9af01a1

110221001121 has 32 divisors (see below), whose sum is σ = 185003440128. Its totient is φ = 56701751040.

The previous prime is 110221001113. The next prime is 110221001147. The reversal of 110221001121 is 121100122011.

It is not a de Polignac number, because 110221001121 - 23 = 110221001113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110221001097 and 110221001106.

It is not an unprimeable number, because it can be changed into a prime (110221001161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292456 + ... + 2340041.

It is an arithmetic number, because the mean of its divisors is an integer number (5781357504).

Almost surely, 2110221001121 is an apocalyptic number.

110221001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110221001121 is a deficient number, since it is larger than the sum of its proper divisors (74782439007).

110221001121 is a wasteful number, since it uses less digits than its factorization.

110221001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632621.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110221001121 its reverse (121100122011), we get a palindrome (231321123132).

The spelling of 110221001121 in words is "one hundred ten billion, two hundred twenty-one million, one thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 103 231 309 721 1133 2163 3399 7931 23793 4632497 13897491 32427479 50957467 97282437 152872401 356702269 477147191 1070106807 1431441573 3340030337 5248619101 10020091011 15745857303 36740333707 110221001121